APPENDIX II 
TABLE OF ADVANCED Z TRANSFORMS 
Note: F;(s) is the Laplace transform of the time function and F,(s)e47* is the Laplace 
transform of the same time function advanced by a time AT. F,(z,A) is the z trans- 
form of the pulse sequence resulting from sampling the advanced time function with a 
period T. This table was constructed by drawing from references 1, 3, and 20. 








No. F,(s)eATs F(z,A) 
il 
a SA Te ee ee 
: s _ 1 —2! 
9 is | AT + T(1 — A)z7! 
s? | (1— 271)? 
3 il gas r ean a (1 + 2A)z7} cn A? 
33 (1 — 27})3 20 — ze)? 20a) 
—aAT 
4 1 eATs eee 
sta iL = Gey" 
—aA —a(1+A) T,— 
Pu eetaaneas Vt ics Oi Le 
(s + a)? teat  @ Sa 
—aT — 
6 ‘ eATs [%e-aAT A* (1 + 2A)e"*Te™ 
(s + a)’ 2( Ui —tenttes)) 1) 20 eee 
| e72aTz-2 
at (1 — e-eTz71)3 
—aAT 
7 ee eewATIs JOD He eB eae 
s(s + a) 1—21 1 —e 9Tz 
a ee | Tz7} aAT —1 e~oAT 
s2(s + a) : CUS iC Sy) ah a ee) 


318 
